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Finding the Third Proportional to 1,454.20 and 2,836.27

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Solution

The third proportional to 1,454.20 and 2,836.27 is: 5,531.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.20 : 2,836.27 = 2,836.27 : x
  2. Step 2: Convert to fraction form
    1,454.20/2,836.27 = 2,836.27/x
  3. Step 3: Cross multiply
    1,454.20x = 2,836.27 × 2,836.27
  4. Step 4: Simplify right side
    1,454.20x = 8,044,402.70
  5. Step 5: Solve for x
    x = 8,044,402.70/1,454.20
  6. Step 6: Final answer
    x = 5,531.83

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.